Properties

Label 59150b
Number of curves $1$
Conductor $59150$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 59150b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59150.j1 59150b1 \([1, 1, 0, -19471000, 33119432000]\) \(-10824513276632329/21926008832\) \(-1653635261943392000000\) \([]\) \(4139520\) \(2.9584\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59150b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 59150b do not have complex multiplication.

Modular form 59150.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{7} - q^{8} - 2 q^{9} + q^{11} - q^{12} + q^{14} + q^{16} - 4 q^{17} + 2 q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display